Author： Elin Mark
Publisher： Springer Publishing Company
ISSN： 1661-8254
Source： Complex Analysis and Operator Theory, Vol.2, Iss.1, 2008-03, pp. : 55-86
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Abstract
We study the asymptotic behavior of one-parameter continuous semigroups of holomorphic mappings. We present angular characteristics of their trajectories at their Denjoy-Wolff points, as well as at their regular repelling points (whenever they exist). This enables us to establish new rigidity properties of holomorphic generators via the asymptotic behavior of the semigroups they generate.
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